#### MA standards for Math: Number Sense and Operations

Mathematics Curriculum Framework
November 2000

## Learning Standards

### Number Sense and Operations for Grades 9-10 Understand numbers, ways of representing numbers, relationships among numbers, and number systems Understand meanings of operations and how they relate to one another Compute fluently and make reasonable estimates

#### Learning Standards

Students engage in problem solving, communicating, reasoning, connecting, and representing as they:
 10.N.1 Identify and use the properties of operations on real numbers, including the associative, commutative, and distributive properties; the existence of the identity and inverse elements for addition and multiplication; the existence of nth roots of positive real numbers for any positive integer n; and the inverse relationship between taking the nth root of and the nth power of a positive real number. 10.N.2 Simplify numerical expressions, including those involving positive integer exponents or the absolute value, e.g., 3(24 - 1) = 45, 4|3 - 5| + 6 = 14; apply such simplifications in the solution of problems. 10.N.3 Find the approximate value for solutions to problems involving square roots and cube roots without the use of a calculator, e.g., . 10.N.4 Use estimation to judge the reasonableness of results of computations and of solutions to problems involving real numbers.

#### Exploratory Concepts and Skills for Grades 9-10 and Single-Subject Courses

• Analyze relationships among the various subsets of the real numbers (whole numbers, integers, rationals, and irrationals).
• Explore higher powers and roots using technology.
• Explore the system of complex numbers and find complex roots of quadratic equations.

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